I hate having a laundry in the basement, personally. Â I'd rather put up with kids trudging through my room (which, frankly, they do anyway) than to have to lug laundry to the basement. Â It's not so much the stairs, as I feel I can't multitask while doing laundry in the basement, if that makes sense. Â It's like a total extra trip for something. Â I have lived in places that have had the laundry in the basement, next to the kitchen, in the kitchen (weird), and upstairs, 2nd floor, near the bedrooms (our current house). Â
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Hands down, the best one ever was the washer and dryer in the kitchen.  Sounds goofy, I know, but in retrospect it was just easier for me.  I loved the idea of the 2nd floor laundry when we bought this house, but unless I'm hanging out upstairs all day (which, uh, never happens for a myriad of reasons) I just never get around to doing all my laundry.  I either throw some in in the morning before I go downstairs, or I throw some in at night before I go to sleep.  Like, today I did some towels in the morning, but I've been busy, so before I go to bed I'll throw them in the dryer.  It shouldn't take 12 hours to do 1 load of laundry, but it does for me!  But I'm always in the kitchen/family room, so being able to sort/wash/dry/fold during the day while cooking/cleaning/doing homework/going insane with my toddlerÂ
 would work out really good for me, and did in the past.  If I could remodel our house, I would have the laundry near the kitchen.
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Good luck!